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Finding the Third Proportional to 77,583 and 118,630.50

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Solution

The third proportional to 77,583 and 118,630.50 is: 181,395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,583 : 118,630.50 = 118,630.50 : x
  2. Step 2: Convert to fraction form
    77,583/118,630.50 = 118,630.50/x
  3. Step 3: Cross multiply
    77,583x = 118,630.50 × 118,630.50
  4. Step 4: Simplify right side
    77,583x = 14,073,195,530.25
  5. Step 5: Solve for x
    x = 14,073,195,530.25/77,583
  6. Step 6: Final answer
    x = 181,395.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.